Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 95/395, 4063/1160 quickly i.e. 77197 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 95/395, 4063/1160 is 77197.
LCM(95/395, 4063/1160) = 77197
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 95/395,4063/1160
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 95,4063
Least Common Multiple of Numerators i.e. LCM of 95,4063 is 385985.
GCF of Denominators means GCF of 395,1160 as per the given fractions.
GCF of 395,1160 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 95,4063
Given numbers has no common factors except 1. So, there LCM is their product i.e 385985
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 95,4063 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,4063) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(95,4063) x common factors =1 x 1 = 1
LCM(95,4063) = ( 95 × 4063 ) / 1
LCM(95,4063) = 385985 / 1
LCM(95,4063) = 385985
Lets's calculate GCF of 395,1160
5 | 395, 1160 |
79, 232 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 385985/5
Therefore the LCM of Fractions 95/395,4063/1160 is 77197
Factors of 395
List of positive integer factors of 395 that divides 395 without a remainder.
1,5,79,395
Factors of 1160
List of positive integer factors of 1160 that divides 1160 without a remainder.
1,2,4,5,8,10,20,29,40,58,116,145,232,290,580,1160
Greatest Common Factor
We found the factors 395,1160 . The biggest common factor number is the GCF number.
So the greatest common factor 395,1160 is 5.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 95/395, 4063/1160?
Answer: LCM of Numerators as per given numbers 95/395, 4063/1160 is
LCM of Numerators i.e. for 95,4063 is 385985
GCF of denominators i.e. for 395,1160 is 5.
Thus, LCM of Fractions is 77197.Finally, LCM of Fractions for 95/395, 4063/1160 is 77197.